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Simplifying mx(2) + -1(m + 1) * x + 1 = 0 Reorder the terms for easier multiplication: 2mx + -1(m + 1) * x + 1 = 0 Reorder the terms: 2mx + -1(1 + m) * x + 1 = 0 Reorder the terms for easier multiplication: 2mx + -1x(1 + m) + 1 = 0 2mx + (1 * -1x + m * -1x) + 1 = 0 Reorder the terms: 2mx + (-1mx + -1x) + 1 = 0 2mx + (-1mx + -1x) + 1 = 0 Reorder the terms: 1 + 2mx + -1mx + -1x = 0 Combine like terms: 2mx + -1mx = 1mx 1 + 1mx + -1x = 0 Solving 1 + 1mx + -1x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1mx + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + 1mx + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1mx + -1x = 0 + -1 1mx + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 1mx + -1x = -1 Add 'x' to each side of the equation. 1mx + -1x + x = -1 + x Combine like terms: -1x + x = 0 1mx + 0 = -1 + x 1mx = -1 + x Divide each side by '1x'. m = -1x-1 + 1 Simplifying m = -1x-1 + 1 Reorder the terms: m = 1 + -1x-1
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